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Finding the Third Proportional to 116,354 and 176,691

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Solution

The third proportional to 116,354 and 176,691 is: 268,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,354 : 176,691 = 176,691 : x
  2. Step 2: Convert to fraction form
    116,354/176,691 = 176,691/x
  3. Step 3: Cross multiply
    116,354x = 176,691 × 176,691
  4. Step 4: Simplify right side
    116,354x = 31,219,709,481
  5. Step 5: Solve for x
    x = 31,219,709,481/116,354
  6. Step 6: Final answer
    x = 268,316.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.